9034412832900 has 1215 divisors, whose sum is σ = 36990325090719. Its totient is φ = 1900967927040.

The previous prime is 9034412832889. The next prime is 9034412832947. The reversal of 9034412832900 is 92382144309.

The square root of 9034412832900 is 3005730.

It is a perfect power (a square), and thus also a powerful number.

9034412832900 is a `hidden beast` number, since 9 + 0 + 344 + 1 + 283 + 29 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2328633272196 + 6705779560704 = 1525986^2 + 2589552^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 24616928517 + ... + 24616928883.

Almost surely, 2^{9034412832900} is an apocalyptic number.

9034412832900 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9034412832900 is the 3005730-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9034412832900

9034412832900 is an abundant number, since it is smaller than the sum of its proper divisors (27955912257819).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9034412832900 is a wasteful number, since it uses less digits than its factorization.

9034412832900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 9034412832900 in words is "nine trillion, thirty-four billion, four hundred twelve million, eight hundred thirty-two thousand, nine hundred".